Let the straight line x= b divide the area enclosed by y=(1−x)2,y=0,andx=0 into two parts R1(0≤x≤b)andR2(b≤x≤1) such that R1−R2=41. Then b equals
The area between the curve y=2x4−x2, the x-axis, and the ordinates of the two minima of the curve is
Let f:[0,∞)→R be a continuous function such that f(x)=1−2x+0∫xex−tf(t)dt for all x∈[0,∞). Then, which of the following statements(s) is (are)) TRUE?
Consider two regions
R1:points P are nearer to (1,0) than to x=−1.
R2:Points P are nearer to (0,0) than to (8,0) Find the area of the region common to R1andR2.